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Child at school

Maths

What is included in each stage: 

Key Stage 1 (KS1) 

Number sense: Counting, place value, addition, subtraction, multiplication, and division.

Measurement: Length, mass, capacity, and time.

Geometry: Shapes, patterns, and position.

Data handling: Collecting, organizing, and interpreting data.

Key Stage 2 (KS2)

Number sense: Continued development of number sense, including fractions, decimals, and percentages.

Algebra: Introduction to algebraic expressions and equations.

Measurement: Area, perimeter, and volume.

Geometry: Properties of shapes, angles, and coordinates.

Data handling: More complex data analysis and representation.

Key Stage 3 (KS3):

Number sense: Further exploration of number systems, including integers and rational numbers.

Algebra: Solving equations, inequalities, and simultaneous equations.

Geometry: Properties of shapes, angles, and transformations.

Trigonometry: Introduction to trigonometric ratios and their applications.

Statistics: Probability, data collection, and analysis.

GCSE

Number:

  • Number systems (integers, rational numbers, real numbers)

  • Operations (addition, subtraction, multiplication, division)

  • Fractions, decimals, and percentages

  • Indices and surds

  • Standard form

 

Algebra:

  • Expressions and equations

  • Inequalities

  • Graphs and their transformations

  • Quadratic equations

  • Simultaneous equations

  • Sequences and patterns

 

Ratio, proportion, and rates of change:

  • Ratio and proportion

  • Rates of change

  • Direct and inverse proportion

 

Geometry and measures:

  • Properties of shapes

  • Angles and triangles

  • Coordinates and graphs

  • Transformations (rotations, reflections, translations)

  • Area, perimeter, and volume

  • Pythagoras' theorem and trigonometry

 

Statistics and probability:

  • Data collection and representation

  • Averages, range, and median

  • Probability

  • Statistical inference

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A-Level 

Pure Mathematics:

  • Algebra:

    • Functions

    • Polynomials

    • Matrices

    • Complex numbers

    • Binomial theorem

    • Partial fractions

  • Calculus:

    • Differentiation

    • Integration

    • Applications of calculus (e.g., optimization, rates of change)

  • Coordinate geometry:

    • Straight lines

    • Circles

    • Curves

  • Trigonometry:

    • Trigonometric identities

    • Trigonometric equations

    • Applications of trigonometry (e.g., solving triangles)

  • Proof:

    • Mathematical induction

    • Geometric proof

 

Mechanics

  • Kinematics:

    • Velocity and acceleration

    • Motion in a straight line

    • Motion in a plane

  • Dynamics:

    • Forces

    • Newton's laws of motion

    • Work, energy, and power

  • Momentum and collisions:

    • Conservation of momentum

    • Elastic and inelastic collisions

 

Statistics

  • Probability:

    • Probability distributions

    • Conditional probability

    • Statistical inference

  • Statistical inference:

    • Hypothesis testing

    • Confidence intervals

    • Correlation and regression

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